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Finding the Fourth Proportional to 30,783, 46,117.80 and 27,462.27

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Solution

The fourth proportional to 30,783, 46,117.80 and 27,462.27 is: 41,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783 : 46,117.80 = 27,462.27 : x
  2. Step 2: Convert to fraction form
    30,783/46,117.80 = 27,462.27/x
  3. Step 3: Cross multiply
    30,783x = 46,117.80 × 27,462.27
  4. Step 4: Simplify right side
    30,783x = 1,266,499,475.41
  5. Step 5: Solve for x
    x = 1,266,499,475.41/30,783
  6. Step 6: Final answer
    x = 41,142.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.